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Finding the Fourth Proportional to 89,765.78, 123,879.38 and 49,482.14

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Solution

The fourth proportional to 89,765.78, 123,879.38 and 49,482.14 is: 68,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,765.78 : 123,879.38 = 49,482.14 : x
  2. Step 2: Convert to fraction form
    89,765.78/123,879.38 = 49,482.14/x
  3. Step 3: Cross multiply
    89,765.78x = 123,879.38 × 49,482.14
  4. Step 4: Simplify right side
    89,765.78x = 6,129,815,957.47
  5. Step 5: Solve for x
    x = 6,129,815,957.47/89,765.78
  6. Step 6: Final answer
    x = 68,286.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.